4041248640 has 512 divisors, whose sum is σ = 15545779200. Its totient is φ = 879820800.

The previous prime is 4041248623. The next prime is 4041248647. The reversal of 4041248640 is 468421404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041248647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11256781 + ... + 11257139.

It is an arithmetic number, because the mean of its divisors is an integer number (30362850).

Almost surely, 2^4041248640 is an apocalyptic number.

4041248640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772889600).

4041248640 is an abundant number, since it is smaller than the sum of its proper divisors (11504530560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4041248640 is a wasteful number, since it uses less digits than its factorization.

4041248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4041248640 is about 63570.8159456838. The cubic root of 4041248640 is about 1592.8389137603.

The spelling of 4041248640 in words is "four billion, forty-one million, two hundred forty-eight thousand, six hundred forty".